428298480 has 180 divisors, whose sum is σ = 1488665880. Its totient is φ = 110350080.

The previous prime is 428298473. The next prime is 428298499. The reversal of 428298480 is 84892824.

It is a happy number.

428298480 is a `hidden beast` number, since 4 + 2 + 82 + 98 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 691611 + ... + 692229.

It is an arithmetic number, because the mean of its divisors is an integer number (8270366).

Almost surely, 2^428298480 is an apocalyptic number.

428298480 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 428298480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (744332940).

428298480 is an abundant number, since it is smaller than the sum of its proper divisors (1060367400).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

428298480 is a wasteful number, since it uses less digits than its factorization.

428298480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 700 (or 660 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 45.

The square root of 428298480 is about 20695.3733960033. The cubic root of 428298480 is about 753.7873491224.

The spelling of 428298480 in words is "four hundred twenty-eight million, two hundred ninety-eight thousand, four hundred eighty".